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495514760 = 235132233187
BaseRepresentation
bin11101100010001…
…111010010001000
31021112101202110112
4131202033102020
52003322433020
6121100333452
715164543306
oct3542172210
91245352415
10495514760
11234783634
12119b44288
137b874700
1449b49276
152d77e2c5
hex1d88f488

495514760 has 96 divisors (see below), whose sum is σ = 1260152640. Its totient is φ = 174949632.

The previous prime is 495514741. The next prime is 495514771. The reversal of 495514760 is 67415594.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153887 + ... + 157073.

It is an arithmetic number, because the mean of its divisors is an integer number (13126590).

Almost surely, 2495514760 is an apocalyptic number.

495514760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495514760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630076320).

495514760 is an abundant number, since it is smaller than the sum of its proper divisors (764637880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495514760 is a wasteful number, since it uses less digits than its factorization.

495514760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 495514760 is about 22260.1608260138. The cubic root of 495514760 is about 791.3201023187.

The spelling of 495514760 in words is "four hundred ninety-five million, five hundred fourteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 169 184 230 260 299 338 460 520 598 676 845 920 1196 1352 1495 1690 2392 2990 3187 3380 3887 5980 6374 6760 7774 11960 12748 15548 15935 19435 25496 31096 31870 38870 41431 63740 73301 77740 82862 127480 146602 155480 165724 207155 293204 331448 366505 414310 538603 586408 733010 828620 952913 1077206 1466020 1657240 1905826 2154412 2693015 2932040 3811652 4308824 4764565 5386030 7623304 9529130 10772060 12387869 19058260 21544120 24775738 38116520 49551476 61939345 99102952 123878690 247757380 495514760